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Plz help A line passes through the points (3,7) and (4,9), Find the equation of the line in slope-intercept form and also in standard form.

Plz help A line passes through the points (3,7) and (4,9), Find the equation of the line in slope-intercept form and also in standard form.
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4 votes
Plz help

A line passes through the points (3,7) and (4,9), Find the equation of the line in slope-intercept form and also in standard form.

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User Webjedi
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1 Answer

4 votes

\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ 3}}\quad ,&{{7}})\quad % (c,d) &({{ 4}}\quad ,&{{ 9}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{9-7}{4-3}\implies \cfrac{2}{1}\implies 2


\bf \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-7=2(x-3)\implies y-7=2x-6 \\\\\\ y=2x+1\qquad \qquad \qquad \qquad \qquad \qquad \stackrel{standard~form}{-2x+y=1}
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User Bonney
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